A graphic designer has created a piece of art for the side of a building. The art is a circle with three sectors as shown in the figure. The circle has a diameter of 10 feet. The measures of the central angles of the three sectors have a a ratio 2 : 3 : 4. The designer wants to paint thr smallest sector red. If it costs $2.00 to paint each square foot, which of the following is closest to tge total cost to paint the smallest sector of the circle?​